Consider the three displacement vectors = ( 4î − 3ĵ) m, = (3î − 6ĵ) m, and = (−6î + 5ĵ) m. Use the component method to determine the following. (Take the +x direction to be to the right.)

(a) the magnitude and direction of the vector = Darrowbold = A with arrow + B with arrow + C with arrow

magnitude= m

direction= ° counterclockwise from the +x axis(b) the magnitude and direction of E with arrow = −A with arrow − B with arrow + C with arrow magnitude

(a).The magnitude and direction of the vector is 4.12 m and 284°

(b). The magnitude and direction of the vector is 19.10 m and 313°

Explanation:

Given that,

The  three displacement are

We need to calculate the magnitude of the vector

Put the value into the formula

We need to calculate the direction of the vector

Using formula of direction

Put the value into the formula

(b). We need to calculate the magnitude of the vector

Put the value into the formula

We need to calculate the direction of the vector

Using formula of direction

Put the value into the formula

Hence, (a).The magnitude and direction of the vector is 4.12 m and 284°

(b). The magnitude and direction of the vector is 19.10 m and 313°

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